IF a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one another; and the exterior angle equal to the interior and opposite upon the same side; and likewise the two interior angles upon the same side together... The Elements of Geometry, Symbolically Arranged - Page 37by Great Britain. Admiralty - 1846Full view - About this book
| Seymour Eaton - 1899 - 362 pages
...therefore AB is parallel to CD (Proposition 27). AXIOM PROPOSITION 29. THEOREM If a straight line fall on **two parallel straight lines, it makes the alternate angles equal to one** another,and the exterior angle equal to the interior and opposite angle on the same side ; and also... | |
| Henry Sinclair Hall, Frederick Haller Stevens - Euclid's Elements - 1900 - 330 pages
...PROPOSITION 29. THEOREM. If a straight line fall on two parallel straight lines, then it shall make **the alternate angles equal to one another, and the exterior angle equal to the interior** opposite angle on the same side ; and also the two interior angles on the same side equal to two right... | |
| Education - 1901 - 548 pages
...(2) If a straight line falls across two parallel straight lines it makes the alternate angles equal, **the exterior angle equal to the interior and opposite angle on the same side** of the line, and the two interior angles on the same side of the line together equal to two right angles,... | |
| Eldred John Brooksmith - Mathematics - 1901 - 368 pages
...duplicate ratio occurs, and give a numerical illustration. 2. Prove that if a straight line falls on **two parallel straight lines it makes the alternate angles equal to one another.** 3. To a given straight line, apply a parallelogram equal to a given triangle and having one of its... | |
| Education - 1902 - 678 pages
...lines. Will any straight lines do ? If not, in what way is the choice of straight lines limited ? 15) **If a straight line fall upon two parallel straight lines, it makes the** two interior angles on the same side together equal to two right angles, and also the alternate angles... | |
| Euclid - Euclid's Elements - 1904 - 488 pages
...PROPOSITION 29. THEOREM. If a straight line fall on two parallel straight lines, then ic shall make **the alternate angles equal to one another, and the exterior angle equal to the interior** opposite angle on the same side ; and also the two interior angles on the same side equal to two right... | |
| 1905 - 614 pages
...2. If two angles of a triangle be unequal the greater angle has the greater side opposite to it. 3. **If a straight line fall upon two parallel straight...exterior angle equal to the interior and opposite** upon the same side ; and likewise the two interior angles upon the same side together equal to two... | |
| Joseph Gregory Horner - Engineering - 1906 - 572 pages
...greater side of every triangle has the greater angle opposite to it. 3. If a straight line falls on **two parallel straight lines, it makes the alternate angles equal to one another.** 4. The three interior angles of any triangle in marking out work, and the methods of иге together... | |
| 1906 - 502 pages
...State the axiom on which your proof of the following theorem depends : — If a straight line fall on **two parallel straight lines it makes the alternate angles equal to one another.** Give the proof of the theorem. In the quadrilateral A BCD the sides AH and CD are parallel and AB is... | |
| 1906 - 582 pages
...greater side of every triangle has the greater angle opposite to it. 3. If a straight line falls on **two parallel straight lines, it makes the alternate angles equal to one another.** H 113 Anс THE ENCYCLOPEDIA OF 4. The three interior angles of any triangle in marking out work, and... | |
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